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Finding the Fourth Proportional to 82,894.59, 124,361.31 and 32,977.53

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Solution

The fourth proportional to 82,894.59, 124,361.31 and 32,977.53 is: 49,474.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,894.59 : 124,361.31 = 32,977.53 : x
  2. Step 2: Convert to fraction form
    82,894.59/124,361.31 = 32,977.53/x
  3. Step 3: Cross multiply
    82,894.59x = 124,361.31 × 32,977.53
  4. Step 4: Simplify right side
    82,894.59x = 4,101,128,831.36
  5. Step 5: Solve for x
    x = 4,101,128,831.36/82,894.59
  6. Step 6: Final answer
    x = 49,474.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.